Question

the center of the circle is c, and m∠ead = 21°. find m∠bfe. enter the correct value in the box. show hints

Explanation:

Step1: Recall inscribed - angle theorem

In a circle, angles inscribed in the same arc are equal.

Step2: Identify arcs

$\angle EAD$ and $\angle BFE$ are inscribed angles that intercept the same arc $\overset{\frown}{BE}$.

Step3: Determine angle measure

Since $\angle EAD$ and $\angle BFE$ are inscribed angles intercepting the same arc, $m\angle BFE=m\angle EAD$.

Answer:

$21^{\circ}$